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Finding the Third Proportional to 486,189 and 769,239

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Solution

The third proportional to 486,189 and 769,239 is: 1,217,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,189 : 769,239 = 769,239 : x
  2. Step 2: Convert to fraction form
    486,189/769,239 = 769,239/x
  3. Step 3: Cross multiply
    486,189x = 769,239 × 769,239
  4. Step 4: Simplify right side
    486,189x = 591,728,639,121
  5. Step 5: Solve for x
    x = 591,728,639,121/486,189
  6. Step 6: Final answer
    x = 1,217,075.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.